Finding the Fourth Proportional to 2,584.47, 3,566.57 and 1,405.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.47 : 3,566.57 = 1,405.52 : x
2. Step 2: Convert to fraction form
   2,584.47/3,566.57 = 1,405.52/x
3. Step 3: Cross multiply
   2,584.47x = 3,566.57 × 1,405.52
4. Step 4: Simplify right side
   2,584.47x = 5,012,873.98
5. Step 5: Solve for x
   x = 5,012,873.98/2,584.47
6. Step 6: Final answer
   x = 1,939.61